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12627090 = 2345717131
BaseRepresentation
bin110000001010…
…110010010010
3212202112010000
4300022302102
511213031330
61130350430
7212220450
oct60126222
925675100
1012627090
117144a13
12428b416
132801568
1419699d0
151196560
hexc0ac92

12627090 has 160 divisors (see below), whose sum is σ = 41399424. Its totient is φ = 2695680.

The previous prime is 12627049. The next prime is 12627119. The reversal of 12627090 is 9072621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96325 + ... + 96455.

Almost surely, 212627090 is an apocalyptic number.

12627090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12627090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699712).

12627090 is an abundant number, since it is smaller than the sum of its proper divisors (28772334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12627090 is a wasteful number, since it uses less digits than its factorization.

12627090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12627090 is about 3553.4616924909. The cubic root of 12627090 is about 232.8633237240.

The spelling of 12627090 in words is "twelve million, six hundred twenty-seven thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 81 85 90 102 105 119 126 131 135 153 162 170 189 210 238 255 262 270 306 315 357 378 393 405 459 510 567 595 630 655 714 765 786 810 917 918 945 1071 1134 1179 1190 1310 1377 1530 1785 1834 1890 1965 2142 2227 2295 2358 2751 2754 2835 3213 3537 3570 3930 4454 4585 4590 5355 5502 5670 5895 6426 6681 6885 7074 8253 9170 9639 10611 10710 11135 11790 13362 13755 13770 15589 16065 16506 17685 19278 20043 21222 22270 24759 27510 31178 32130 33405 35370 40086 41265 46767 48195 49518 53055 60129 66810 74277 77945 82530 93534 96390 100215 106110 120258 123795 140301 148554 155890 180387 200430 233835 247590 280602 300645 360774 371385 420903 467670 601290 701505 742770 841806 901935 1262709 1403010 1803870 2104515 2525418 4209030 6313545 12627090